Question

4. Solve the equation. Just put the solution without the variable. Solve the equation. 3/4x + 2 - 1/3x = 12

Answer 1

hello

to solve this problem, let's simplify the equation

step 1

collect like terms

$\begin{gathered} \frac{3}{4}x+2-\frac{1}{3}x=12 \\ \frac{3}{4}x-\frac{1}{3}x=12-2 \\ \frac{3}{4}x-\frac{1}{3}x=10 \end{gathered}$

step 2

find the LCM to resolve the fraction

the LCM of 4 and 3 is 12

$\begin{gathered} \frac{3}{4}x-\frac{1}{3}x=10 \\ \frac{3(3)-1(4)}{12}x=10 \\ \frac{9-4}{12}x=10 \\ \frac{5}{12}x=10 \end{gathered}$

cross multiply and solve for x

$\begin{gathered} \frac{5}{12}x=10 \\ 5x=10\times12 \\ 5x=120 \\ \text{divide both sides by 5} \\ \frac{5x}{5}=\frac{120}{5} \\ x=24 \end{gathered}$

x = 24